Work

A Primal-Dual Simplex Algorithm for Solving Linear Programming Problems with Symmetric Trapezoidal Fuzzy Numbers

Year: 2011

Type: article

Abstract: Two existing methods for solving a class of fuzzy linear programming (FLP) problems involving symmetric trapezoidal fuzzy numbers without converting them to crisp linear programming problems are the fuzzy primal simplex method proposed by Ganesan and Veeramani [1] and the fuzzy dual simplex method proposed by Ebrahimnejad and Nasseri [2]. The former method is not applicable when a primal basic feasible solution is not easily at hand and the later method needs to an initial dual basic feasible solution. In this paper, we develop a novel approach namely the primal-dual simplex algorithm to overcome mentioned shortcomings. A numerical example is given to illustrate the proposed approach.

Source: Applied Mathematics

DOI: 10.4236/am.2011.26089

Author: Ali Ebrahimnejad

Institutions: Islamic Azad University, Science and Research Branch, Qaemshahr Islamic Azad University

Language: English

Topic: Optimization and Mathematical Programming

Subfield: Management Science and Operations Research

Field: Decision Sciences

Domain: Social Sciences

Open Access status: diamond

Funder: Islamic Azad University, Qaemshahr Branch

OpenAlex ID: W2092464556

FWCI: 1.608

Cites: 23

Cited by: 12

Related to: 10